Summary introduction to binary and hex

Electrical and electronic engineering Robert Attfield Kirsopp



Electrical and Electronic Engineering

Digital

Introduction to Binary and Hexadecimal



Our number system 0,1,2,3,4,5,6,7,8,9 etc. Is a base TEN system,

This means that EACH PLACE can have ten different symbols inside of it

E.g. 1 to 9 and the tenth value is zero

Binary is the same only in each space it can only have two different values 0 and 1
making it BASE TWO, it is used in computing where a signal is only recognised as on
or off. E.g V

This means that once we want to express a value higher than 1 we need another
space just like we need another space in our system to get a number higher than 9

So just like each space of a base 10 number holds powers of ten

eg 1840 = 1 ∗ 103 + 8 ∗ 102 + 4 ∗ 101 + 0 ∗ 100

where; number in that space = number ∗ baseplace

Each space in a base two system works the same except where the ten is above
there is a two

E.g FIVE = 101 = 1 ∗ 22 + 0 ∗ 21 + 1 ∗ 20

Number Binary number
0 0
1 1
2 10
3 11
4 100
5 101

The table below shows the values on top of a 10 bit binary number if the space has a
one
502 256 128 64 32 16 8 4 2 1

E. g 1000000101 = 502 + 0+0+0+0+0+0+ 4 +0+ 1 use this table to make any ten bit
binary number.


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